O
Oliver Riordan
Researcher at University of Oxford
Publications - 139
Citations - 7903
Oliver Riordan is an academic researcher from University of Oxford. The author has contributed to research in topics: Random graph & Giant component. The author has an hindex of 37, co-authored 137 publications receiving 7409 citations. Previous affiliations of Oliver Riordan include University of Memphis & Trinity College, Dublin.
Papers
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Journal ArticleDOI
The degree sequence of a scale-free random graph process
TL;DR: Here the authors obtain P(d) asymptotically for all d≤n1/15, where n is the number of vertices, proving as a consequence that γ=3.9±0.1 is obtained.
Journal IssueDOI
The phase transition in inhomogeneous random graphs
TL;DR: A very general model of an inhomogeneous random graph with (conditional) independence between the edges is introduced, which scales so that the number of edges is linear in thenumber of vertices.
Journal ArticleDOI
The Diameter of a Scale-Free Random Graph
Bélaa Bollobás,Oliver Riordan +1 more
TL;DR: A random graph process in which vertices are added to the graph one at a time and joined to a fixed number m of earlier vertices, where each earlier vertex is chosen with probability proportional to its degree is considered.
Book ChapterDOI
Mathematical results on scale‐free random graphs
TL;DR: There has been much interest in studying large-scale real-world networks and attempting to model their properties using random graphs, and the work in this field falls very roughly into the following categories.
Proceedings ArticleDOI
Directed scale-free graphs
TL;DR: A model for directed scale-free graphs that grow with preferential attachment depending in a natural way on the in- and out-degrees is introduced, reproducing observed properties of the worldwide web.